A researcher randomly selects a sample of participants from a population with a variance of 4.If the researcher selects a sample of 16 participants with a mean of 12,then what is the mean and standard error for the sampling distribution of the mean?
A) mean = 12, standard error = 2
B) mean = 12, standard error = 1
C) mean = 12, standard error = 0.5
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

The mean of the sampling distribution is the same as the population mean, which is given as 12. The standard error is calculated as the square root of the population variance divided by the sample size, which is √(4/16) = 0.5.

A Researcher Randomly Selects a Sample of Participants from a Population